Summer Math Learning Packet
Students Entering Grade 4
The daily activities in this summer math packet will review math concepts and skills of the grade that has just been completed during
the 2013-2014 school year. Just a few minutes each day spent “thinking and talking math” will help reinforce the math that has been
learned and begin to bridge the foundation for extending to the concepts that will be developed next year. The goal is for you to have
fun thinking and working collaboratively to communicate mathematical ideas. While you are working ask how the solution was found
and why a particular strategy was chosen.
The math practice in this summer packet address the new Massachusetts Curriculum Framework for Mathematics which
incorporates the Common Core Standards addressing these 4 critical areas in grade 3:
(1) developing understanding of multiplication and division and strategies for multiplication and division within 100
(2) developing understanding of fractions, especially unit fractions (fractions with numerator 1)
(3) developing understanding of the structure of rectangular arrays and of area
(4) describing and analyzing two-dimensional shapes.
The packet consists of 2 calendar pages, one for July and one for August, as well as directions for math games to be played at home.
Literature, worksheets, APPs and websites are also recommended to explore mathematics in new ways. We encourage you to
complete at least 15 math days each month. Keep track of your math in a journal.
Student Accountability
The intention is that your child spends at least 10 minutes a day, 4 to 5 times a week, practicing math. Your child
should aim to complete at least 200 minutes of math practice over the course of the summer.
When your child has completed the math requirements, please sign and return this paper to the fourth grade
teacher with his/her journal.
_______________________________________________________ _________________
Parent’s signature
Date
Grade 4
Summer Math Ideas
(You will need a deck of cards, with all the face cards removed.
Treat the ace as the number 1.)
Math Tools You’ll Need:
Notebook for math journal
Pencil
Crayons
Regular deck of playing cards
Games To Play
Dice
DIRECTIONS:
Do your best to complete as many of these summer math activities as
you can! Record your work in your math journal every day. In
September share your Math Journal with your second grade teacher.
Each journal entry should:
! Have the date of the entry
! Have a clear and complete answer
! Be neat and organized
1. Multiplication War - Deal out all the cards equally between 2 or 3
players. Each player turns over 2 cards and multiplies the numbers
together. The person with the higher product wins the pile of cards. If
you have the same product repeat the procedure. Winner takes all the
cards.
2. Close to 1000 - Deal 8 cards to each player. Use any 6 of your
cards to make two 3-digit numbers. Try to get a sum that is close to or
equal to 1000. Write these 2 numbers in your journal. Your score is
the difference between your number and 1000.
Example: Your eight cards are 1, 5, 4, 3, 1, 8, 3, 8
You can combine 148 + 853 + 1001. Your score is 1 since the
difference between 1001 and 1000 is 1. Discard the 6 used cards and
pick 6 new cards. Whoever has the lowest total score after 5 rounds
wins the game.
Here an example of a “Great” journal entry:
Cool Math Books to Read:
The $1.00 Word Riddle Book by Marilyn Burns
Fraction Fun by David Adler
The
JulyBest
5th of Times by Greg Tang
Pigs
WillI went
be Pigs:
Funtowith
and
Money
by Amy
Axelrod
Today
outside
playMath
at 9:35
a.m.
and came
in at
12:05
p.m. I was outside for a total of 90 minutes. This can also be
written as 1 hour and 30 minutes, or 1½ hours.
Other games to play: Monopoly, Othello, Battleship, Connect Four,
Mastermind, Mancala, Legos, K’Nex, Simon, Yahtzee
Worksheets to Practice Math
http://www.gregtangmath.com/
http://www.commoncoresheets.com/
July 2014 Entering Fourth Grade Mathematics Calendar
Sunday
Tuesday
Wednesday
1
Read
Fraction Fun
By David Adler.
Which is larger, 2/3 or ¾? How
do you know? Prove it.
2
Masha had 120 stamps. First,
she gave her sister half of the
stamps and then she used three
to mail letters. How many
stamps does Masha have left?
3
Try a new game at
www.funbrain.com
7
When rounding to the nearest
ten, what is the smallest
whole number that will round
to 50? The largest? How
many different whole
numbers round to 50?
8
Practice math facts in a fun
way at the website
www.multiplication.com
9
Compare the fractions
below. Use the symbols >, =, or
< to record your comparisons.
Draw a picture to illustrate your
answer.
2/6 and 5/6
1/2 and 1/3
10
Play a game. What strategy did
you use? Would you use the
same strategy again?
13
14
Draw a 6-inch number line
that begins with 0 and ends
with 1. Roll a die. Divide your
number line into this number
of equal segments. Label the
segments. Explain thinking.
15
Rosa made 56 cupcakes. She
put 8 cupcakes into each box
and sold the boxes for $3.00
each. How much money did
Rosa receive?
16
Write a story problem that can
be solved using the number
sentence
9 x 3 = ______.
17
I am a number between 20 &
30. When you divide me into 6
equal groups, there is an even
number in each group and 2 are
left over. What number am I?
Write your own division riddle.
18
Read The Best of Times
By Greg Tang.
Make a set of flash cards and
practice the multiplication
facts.
19
20
21
Play Chairs at
www.illuminations.nctm.org
If you have 8 tables, what’s
the greatest number of
people you can seat in a
line?
22
23
Use the numbers 3, 5, and
15 to write a multiplication
number story. Write a
related division story. Write
a number sentence for each
story.
24
Find a newspaper and cut the
articles or pictures out. Organize
them by area from least to
greatest.
25
Figure your age in months.
How many months old are
you?
26
Arrange the fractions in
order, beginning with the
least. Explain your answer
with a picture.
28 Roll 2 dice and multiply
to find the product. Record
the products. Do this 25
times. Create a bar graph
with the results. What do you
notice?
29 Read Pigs Will be Pigs:
Fun with Math and Money by
Amy Axelrod. Get a menu
from a restaurant and add up
what it would cost for
your family to eat there.
6
27
Monday
What games did you play?
1/5, 1/7, 1/3
30
Draw a picture of a
quadrilateral. Draw a picture of
a rhombus.
How are they alike? How are
they different?
Thursday
Friday
Saturday
4
Play the game
Close to 1000.
(see directions)
5
11
Play the Product Game at
www.illuminations.nctm.org
12
Challenge yourself
Record the strategy that you
used.
31
Go to the website
www.setgame.com
Play and enter to win a prize!
August 2014 Entering Fourth Grade Mathematics Calendar
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
1 Choose one activity for a
day and record the start and
stop time. Calculate the
elapsed time for the activity.
(Challenge: convert all of
your times into minutes or
hours)
2
3
4 Find 4 numbers larger than
1,000 in a newspaper. Put
them in order from least to
greatest. What is the
difference between the
smallest and the largest?
5 Play Concentration at
www.illuminations.nctm.org
Choose cards: fractions
games: face down
Draw pictures that represent
some fractions.
6 Select ten items from a
grocery flyer and find the total
cost of the items. Calculate
how much change you would
receive from a one hundred
dollar bill.
7
The product of two numbers is
30. The sum of the two numbers
is less than 20. What might the
two numbers be? Show all
possible solutions and explain
your thinking.
8
Write multiplication and
division combinations for 6, 7,
and 42. Can you write a word
problem to go with these
equations?
9
10
11 When rounding to the
nearest hundred, what is the
smallest whole number that
will round to 500? The
largest? How many different
whole numbers will round to
500?
12
Write a word problem whose
answer is 12. Have someone
solve the problem. Choose
another answer and make up
a problem.
13 There are 6 tables in Mrs.
Potter's art classroom. There
are 4 students sitting at each
table. Each student has a box of
10 colored pencils. How many
colored pencils are at each
table? How many colored
pencils in total?
14
A farmer has chickens and cows.
What combination of animals
could total 24 legs? Is there more
than one combination?
15
Play Multiplication War.
(see direction page)
16
17
18
Play a game. What strategy
did you use? Would you use
the same strategy again?
19 Family fun! Go on a road
trip. Write down the miles on
the odometer when you leave.
Write down the miles when
you get home. How many
miles did you travel?
20
Try a new activity at
www.coolmath4kids.com
21
Read The $1.00 Word Riddle
Book by Marilyn Burns. What is
your name worth? What is the
most expensive word you can
make?
22 Choose 1 number: 2, 3, 5,
or 6. Double the number you
chose. Double the sum. Keep
on doubling until you get a
sum that is greater than
1,000. How close to 1,000 is
the number you reached?
23
26
Have a scavenger hunt for
real-world examples of right
angles (ex. the corner of a
book)
27
Gather 3 store receipts. Find
the total amount that was spent.
28
29
YOU DID IT! Please bring
your journal to your fourth
grade teacher on the first day
of school!
30
24
25
Plan a meal for your family.
With an adult, make a list of
the ingredients, go shopping,
and then follow the recipes.
Are there fractions in your
recipes?
Challenge yourself.
Choose an activity from
http://www.gregtangmath.com
Educational and Fun APPS and Websites to Practice Math
Please take some time to do these activities and record your choices on the “Create Your Own Summer Math Calendar!” sheet provided.
Websites
Here are websites that you can access at the Cambridge Public Library if you do not have a computer at home
http://www.funbrain.com/
http://www.aplusmath.com/
http://pbskids.org/cyberchase/math-games/
http://illuminations.nctm.org/ActivitySearch.aspx
http://www.gregtangmath.com/
http://www.coolmath4kids.com/
http://bedtimemath.org
http://www.playkidsgames.com./
http://www.coolmath.com./
http://www.figurethis.org./index.html
http://resources.oswego.org/games/mathmagician/cathymath.html
APPS to Practice Math!
Try handing your smartphone or iPad to your child while you are driving or watching TV and let them practice their math on a free or
inexpensive app.
APPS for 3 - 5
APPS for all Grades
Everyday Mathematics, Beat the Computer, Multiplication
Everyday Mathematics, Divisibility Dash
Everyday Mathematics, Equivalent Fractions
Juicy Math – Multiplication and Division
Motion Math HD
Pizza Fractions: Basic Conversions
Pizza Fractions: Comparing Simple Fractions
Times Tables
Tony’s Fraction’s Pizza Shop
Pearl Diver 3 - 8
Fast Math
Fast Math Challenge HD
Fraction App by Tap to Learn
Kakooma
Math Matrix HD
Quick Math Game
PopMath
iEstimation
Pick-a-Path
Sumdog
Conundra Math
Cloud Math
Create Your Own Summer Math Calendar!
Grade _____
If the activities suggested don’t seem to “fit your child” or you have your own websites/literature/math practice you would like to do you can create
your own math calendar. Feel free to substitute your own activities that better suit your needs or learning style. All we ask is that you document your
created activities below. Remember: the goal is to complete 15 activities each month. You can certainly use this sheet to record more!
#
1
2
3
4
5
6
7
Date
Completed
Description of Math Activity
8
9
10
11
12
13
14
15
Students’ name: _____________________________________________
Parent’s Signature: __________________________________________
Grade 4 Answer Key
Answers will vary for many of the activities depending on the choices students make. Here are the answers for activities with specific
solutions.
July 1
July 2
Masha had 57 stamps left.
July 7
Smallest : 45
Largest: 54
Total number that round to 50: 10
July 9
2/6 < 5/6
½ > 1/3
July 15
7 boxes of cupcakes. She made $21.00.
July 16
There were 9 tricycles at the park. How many wheels were there altogether?
(9 groups of 3 wheels)
July 17
26
July 22
1/7, 1/5, 1/3
July 30
Examples:
Trapezoid
Rectangle
They are alike because they each have 4 sides and four angles.
They are different because they have different side lengths.
August 7
2 x 15 = 30
3 x 10 = 30
5 x 6 = 30
When the factors are added together they add up to less than 20.
2 + 15 = 17
3 + 10 = 30
5 + 6 = 11
August 11
Smallest: 450
Largest: 549
Total number that round to 500: 100
August 13
Each student has a box of 10 pencils, which is one group of 10. There are 4 students at each table, so there are 4 groups of 10 pencils or 4 × 10
pencils at each table. We also know that the "4" in the number 40 means "4 tens" so we know there are 40 pencils at each table.
Since there are 6 tables, and 40 pencils at each table, there are 6 × 40 pencils in total. There are 240 pencils in total.
August 14
Examples:
1 cow and 10 chickens
2 cows and 8 chickens
August 22
Start like this:
2+2=4
4+4=8
8+8=?